Question

Water present in this container is to be transferred to a cubical container (in the shape of a cube). What should be the length of the new container?

Answer 1

Since the entire water present in this container is to be shifted to the new container, the capacity of both the containers should be equal.

Which means, volume of this container $=$ volume of new cubical container

For this container,
length $l=25$ m, breadth $b=5$ m and height $h=27$ m
$\therefore$ Volume $=l\times b\times h=25\times 5\times 27=3375$ m${}^3$

Let us assume that the length of the new cubical container $=s$ m
$\therefore$ Volume of the new container willl be $=s^3$ m${}^3$

Thus, $s^3=3375$
$⟹s=\sqrt[3]{33375}=15$ m